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Finding the Third Proportional to 13,430 and 15,374

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Solution

The third proportional to 13,430 and 15,374 is: 17,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430 : 15,374 = 15,374 : x
  2. Step 2: Convert to fraction form
    13,430/15,374 = 15,374/x
  3. Step 3: Cross multiply
    13,430x = 15,374 × 15,374
  4. Step 4: Simplify right side
    13,430x = 236,359,876
  5. Step 5: Solve for x
    x = 236,359,876/13,430
  6. Step 6: Final answer
    x = 17,599.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.